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3 years ago

The two lines graphed on the coordinate grid each represent an

Mathematics

1 answer:

shusha [124]3 years ago

7 0

9514 1404 393

Answer:

C. (-4, -3)

Step-by-step explanation:

The point where the lines cross is the solution to both equations. That point is in the third quadrant, where both coordinate values are negative.

The x-coordinate of the point is listed first, so the solution is ...

(x, y) = (-4, -3)

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In a group of Explore students, 38 enjoy video games, 12 enjoy going to the movies and 24 enjoy solving mathematical problems. O

Elodia [21]

Answer:

The number of students that like only two of the activities are 34

Step-by-step explanation:

Number of students that enjoy video games, A = 38

Number of students that enjoy going to the movies, B = 12

Number of students that enjoy solving mathematical problems, C = 24

A∩B∩C = 8

Here we have;

n(A∪B∪C) = n(A) + n(B) + n(C) - n(A∩B) - n(B∩C) -n(A∩C) + n(A∩B∩C)

= 38 + 12 + 24 - n(A∩B) - n(B∩C) -n(A∩C) + 8

Also the number of student that like only one activity is found from the following equation;

n(A) - n(A∩B) - n(A∩C) + n(A∩B∩C) + n(B) - n(A∩B) - n(B∩C) + n(A∩B∩C) + n(C) - n(C∩B) - n(A∩C) + n(A∩B∩C) = 30

n(A) + n(B) + n(C) - 2·n(A∩B) - 2·n(A∩C) - 2·n(B∩C) + 3·n(A∩B∩C) = 30

38 + 12 + 24 - 2·n(A∩B) - 2·n(A∩C) - 2·n(B∩C) + 24 = 30

- 2·n(A∩B) - 2·n(A∩C) - 2·n(B∩C) = -68

n(A∩B) + n(B∩C) + n(A∩C) = 34

Therefore, the number of students that like only two of the activities = 34.

8 0

3 years ago

Identify the situation that involves opposite quantities adding up to zero Climbing up 6 feet and climbing down 4 feet Hiking 10

ivolga24 [154]

9514 1404 393

Answer:

(b) Hiking 10 feet due north, then hiking 10 feet due south

Step-by-step explanation:

Any pair of numbers that totals zero will be a pair of opposites. The offered choices are ...

+6 -4 = 2 . . . not zero

+10 -10 = 0

+2 -3 = -1 . . . not zero

+5 -3 = 2 . . . not zero

Hiking 10 feet due north, then hiking 10 feet due south is a situation involving opposite numbers adding up to zero.

3 0

3 years ago

Order of fractions from least to greatest 5/8,3/4,1/2,9/16

rusak2 [61]

Answer:

1/2, 9/16, 5/8, 3/4

Step-by-step explanation:

3 0

4 years ago

A rectangles width is 4 less than its area and its length is 19. what is it’s width?

Alchen [17]

The width of the rectangle is $\frac{2}{9}$ unit

Step-by-step explanation:

The given is:

A rectangles width is 4 less than its area
Its length is 19 units

We need to find the width of the rectangle

Assume that the width of the rectangle is x units

∵ The area of the rectangle = length × width

∵ The width of the rectangle = x units

∵ The length of the rectangle = 19 units

∴ The area of the square = 19 × x = 19 x units²

∵ The width of the rectangle is 4 less than its area

- That means subtract 4 from the area to find the width

∴ x = 19 x - 4

- Subtract 19 x from both sides

∴ -18 x = -4

- Divide both sides by -18

∴ x = $\frac{-4}{-18}$

- Reduce the fraction by dividing up and down by -2

∴ x = $\frac{2}{9}$

The width of the rectangle is $\frac{2}{9}$ unit

Learn more:

You can learn more about the rectangles in brainly.com/question/12919591

#LearnwithBrainly

4 0

3 years ago

How I can answer this question, NO LINKS, if you answer correctly I'll give u brainliest!

OverLord2011 [107]

Answer:

The answer is : A

Step-by-step explanation:

Hope this helps!!! :)

5 0

2 years ago